04980nam 22008175 450 991058447870332120260409182410.03-030-97797-810.1007/978-3-030-97797-9(MiAaPQ)EBC7045753(Au-PeEL)EBL7045753(CKB)24265910000041(PPN)263899225(OCoLC)1336714594(DE-He213)978-3-030-97797-9(EXLCZ)992426591000004120220715d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDifferential Heterogenesis Mutant Forms, Sensitive Bodies /by Alessandro Sarti, Giovanna Citti, David Piotrowski1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (222 pages)Lecture Notes in Morphogenesis,2195-1942Print version: Sarti, Alessandro Differential Heterogenesis Cham : Springer International Publishing AG,c2022 9783030977962 Includes bibliographical references and index.Introduction -- Elements of morphodynamics -- Multiplicity and Assemblages -- Differential heterogenesis -- Differential cognitive neuroscience -- Expression and semiogenesis -- Chiusa: Morphodynamic poetry -- Plates.This book describes about unlike usual differential dynamics common in mathematical physics, heterogenesis is based on the assemblage of differential constraints that are different from point to point. The construction of differential assemblages will be introduced in the present study from the mathematical point of view, outlining the heterogeneity of the differential constraints and of the associated phase spaces, that are continously changing in space and time. If homogeneous constraints well describe a form of swarm intelligence or crowd behaviour, it reduces dynamics to automatisms, by excluding any form of imaginative and creative aspect. With this study we aim to problematize the procedure of homogeneization that is dominant in life and social science and to outline the dynamical heterogeneity of life and its affective, semiotic, social, historical aspects. Particularly, the use of sub-Riemannian geometry instead of Riemannian one allows to introduce disjointed and autonomous areas in the virtual plane. Our purpose is to free up the dynamic becoming from any form of unitary and totalizing symmetry and to develop forms, action, thought by means of proliferation, juxtaposition, and disjunction devices. After stating the concept of differential heterogenesis with the language of contemporary mathematics, we will face the problem of the emergence of the semiotic function, recalling the limitation of classical approaches (Hjelmslev, Saussure, Husserl) and proposing a possible genesis of it from the heterogenetic flow previously defined. We consider the conditions under which this process can be polarized to constitute different planes of Content (C) and Expression (E), each one equipped with its own formed substances. A possible (but not unique) process of polarization is constructed by means of spectral analysis, that is introduced to individuate E/C planes and their evolution. The heterogenetic flow, solution of differential assemblages, gives rise to forms that are projected onto the planes, offering a first referring system for the flow, that constitutes a first degree of semiosis.Lecture Notes in Morphogenesis,2195-1942Geometry, DifferentialPhenomenologyGrammar, Comparative and generalMorphologyHermeneuticsManifolds (Mathematics)Differential GeometryPhenomenologyMorphologyHermeneuticsManifolds and Cell ComplexesGeometria diferencialthubGeneració espontàniathubFísica matemàticathubLlibres electrònicsthubGeometry, Differential.Phenomenology.Grammar, Comparative and generalMorphology.Hermeneutics.Manifolds (Mathematics)Differential Geometry.Phenomenology.Morphology.Hermeneutics.Manifolds and Cell Complexes.Geometria diferencialGeneració espontàniaFísica matemàtica516.36516.36Sarti Alessandro743416Citti GiovannaPiotrowski DavidMiAaPQMiAaPQMiAaPQBOOK9910584478703321Differential heterogenesis2999034UNINA